• Interacting free boundaries in obstacle problems. (with R. Teymurazyan)
  Interfaces Free Bound. (2025), published online first, DOI 10.4171/IFB/541.
  


• On splitting complete manifolds via infinity harmonic functions. (with M. Magliaro, L. Mari and L. Pessoa)
  Int Math Res Notices, Volume 2024, Issue 18, September 2024, Pages 12620--12644.
  


• Fully nonlinear dead-core systems. (with R. Teymurazyan)
  J. Funct. Analysis, 287, issue 9, (2024).
  


• Sharp regularity for a singular fully nonlinear parabolic free boundary problem. (with G. Sá and J.M. Urbano)
  J. Differential Equations, Volume 289, 25 April 2024, Pages 90-113.
  


• Sharp regularity for singular obstacle problems. (with R. Teymurazyan and V. Voskanyan)
  Math. Ann. 387, 1367-1401 (2023).
  


• Improved boundary and global regularity for degenerate fully nonlinear elliptic equations. (with B. Sirakov)
  J. Math. Pures Appl. (9) 169 (2023), 138-154.
  


• Infinity Laplacian equations with singular absorptions. (with Ginaldo Sá)
  Calc. Var. 61, 132 (2022). SBM Prize*
  


• An optimal Liouville theorem for the porous medium equation. (with R. Teymurazyan)
  Arch. Math. 118 (2022), 427-433.
  


• On a two-phase free boundary problem ruled by the infinity Laplacian. (with E. Teixeira and J.M. Urbano)
  Isr. J. Math. 245, 773–785 (2021).
  


• Higher regularity estimates for the porous medium equation near the heat equation.
  Rev. Mat. Iberoam. 37 (2021), 1747-1760.
  


• Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian. (with L. Mari
  and L. Pessoa) J. Differential Equations, Volume 281, 25 April 2021, Pages 550-587.
  


• Optimal C^{1,\alpha} estimates for a class of elliptic quasilinear equations. (with L. Zhang)
  Commun. Contemp. Math. 22 (2020), no. 5, 1950014, 19 pp.
  


• Sharp regularity for the inhomogeneous porous medium equation. (with A. Maia and J.M. Urbano)
  Journal d'Analyse Mathématique, J. Anal. Math. 140 (2020), 395-407.
  


• Towards the C^p'-regularity conjecture in higher dimensions. (with E. Teixeira and J.M. Urbano)
  Int Math Res Notices, Volume 2018, Issue 20, 2018, P. 6481-6495.
  


• A proof of the C^p'-regularity conjecture in the plane. (with E. Teixeira and J.M. Urbano)
  Adv. Math. 316, 541–553, (2017).
  


• Singularly pertubed equations of degenerate type. (with E. Teixeira and G. Ricarte)
  Ann. Inst. H. Poincaré Anal. Non linéaire 34, no. 3, 655-678,(2017).
  


• Infinity Laplacian equation with strong absorptions. (with E. Teixeira and R. Leitão)
  J. Funct. Analysis 270, pp.2249-2267, (2016).
  


• Geometric gradient estimates for solutions to degenerate elliptic equations. (with E. Teixeira and G. Ricarte)
  Cal. of Var. and PDEs, Vol.53, Issue 3-4, pp 605-625, (2015).
  


• Geometric approach nonvariational singular elliptic equations. (with E. Teixeira)
  Arc. for Rat. Mech. and Anal., Vol.209, Issue 3, pp 1019-1054, (2013).
  

Submitted papers

• Regularity in diffusion models with gradient activation.
  (with A. Sobral and E. Teixeira)
  


• On free boundary problems shaped by oscillatory singularities.
  (with A. Sobral, E. Teixeira and J.M. Urbano)
  


• On free boundary problems shaped by oscillatory singularities II: models in stochastic materials.
  (with G. Sá, E. Teixeira and J.M. Urbano)
  


• On fractional quasilinear equations with elliptic degeneracy.
  (with D. dos Prazeres and E. Topp)
  


• Geometric properties of free boundaries in degenerate quenching problems.
  (with R. Teymurazyan and J.M. Urbano)
  


• Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity.
  (with A. Minne and E. Pimentel)
  


• On a nonlocal superconductivity problem.
  (with with A. Sobral)
  


• Regularity estimates for PDEs with nonlocal degeneracies.
  (with with E. Teixeira, J.M. Urbano and A. Sobral)